MULTIVARIATE STOCHASTIC-DOMINANCE AND MOMENTS

被引:7
|
作者
OBRIEN, GL [1 ]
SCARSINI, M [1 ]
机构
[1] UNIV LA SAPIENZA,DIPARTIMENTO SCI ATTUARIALI,I-00161 ROME,ITALY
关键词
MOMENTS; MOMENT INEQUALITIES; MULTIVARIATE DISTRIBUTION FUNCTIONS; STOCHASTIC DOMINANCE;
D O I
10.1287/moor.16.2.382
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The sequence greater-than-or-equal-to n(d) of nth degree stochastic dominances for d-dimensional distribution functions is defined. It is shown that, under some regularity conditions, greater-than-or-equal-to n(d) implies greater-than-or-equal-to n(d-1) for the (d - 1)-dimensional marginals. Also some necessary conditions for greater-than-or-equal-to n(d) are established. These conditions, which involve moments, are analogous to the ones proved by Fishburn (1980b) and O'Brien (1984) for univariate distributions.
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页码:382 / 389
页数:8
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